Question

Viết tích sau dưới dạng 1 lũy thừa

8^4 . 16^5

5^40 . 125^2 . 25^3

27^4 . 81^10

10^3 . 100^5 . 1000^4

Answer 1

8⁴.16⁵=2³²

5⁴⁰.125².25³=5⁵²

27⁴.81¹⁰=3⁵²

10³.100⁵.1000⁴=10²⁵

Chúc hk tốt!!!

Answer 2

+) \(8^4\times16^5=\left(2^3\right)^4\times\left(2^4\right)^5=2^{12}\times2^{20}=2^{12+20}=2^{32}\)

+) \(5^{40}\times125^2\times25^3=5^{40}\times\left(5^3\right)^2\times\left(5^2\right)^3=5^{40}\times5^6\times5^6=5^{40+6+6}=5^{52}\)

+) \(27^4\times81^{10}=\left(3^3\right)^4\times\left(3^4\right)^{10}=3^{12}\times3^{40}=3^{12+40}=3^{52}\)

+) \(10^3\times100^5\times1000^4=10^3\times\left(10^2\right)^5\times\left(10^3\right)^4=10^3\times10^{10}\times10^{12}=10^{3+10+12}=10^{25}\)

_Chúc bạn học tốt_